(* Created with the Wolfram Language : www.wolfram.com *)
<|"c/2" -> {{1, 0, 0}, {0, 1, 0}, {0, 0, 1/2}}, 
 "b/2" -> {{1, 0, 0}, {0, 1/2, 0}, {0, 0, 1}}, 
 "a/2" -> {{1/2, 0, 0}, {0, 1, 0}, {0, 0, 1}}, 
 "UniqueAxisB_CellChoice+1" -> {{-1, 0, 1}, {0, 1, 0}, {-1, 0, 0}}, 
 "UniqueAxisC_CellChoice+1" -> {{0, -1, 0}, {1, -1, 0}, {0, 0, 1}}, 
 "UniqueAxisA_CellChoice+1" -> {{1, 0, 0}, {0, 0, -1}, {0, 1, -1}}, 
 "UniqueAxisB_to_C" -> {{0, 1, 0}, {0, 0, 1}, {1, 0, 0}}, 
 "UniqueAxisB_to_A" -> {{0, 0, 1}, {1, 0, 0}, {0, 1, 0}}, 
 "UniqueAxisC_to_A" -> {{0, 1, 0}, {0, 0, 1}, {1, 0, 0}}, 
 "I_to_P" -> {{-1/2, 1/2, 1/2}, {1/2, -1/2, 1/2}, {1/2, 1/2, -1/2}}, 
 "F_to_P" -> {{0, 1/2, 1/2}, {1/2, 0, 1/2}, {1/2, 1/2, 0}}, 
 "A_to_P" -> {{-1, 0, 0}, {0, -1/2, 1/2}, {0, 1/2, 1/2}}, 
 "B_to_P" -> {{-1/2, 0, 1/2}, {0, -1, 0}, {1/2, 0, 1/2}}, 
 "C_to_P" -> {{1/2, 1/2, 0}, {1/2, -1/2, 0}, {0, 0, -1}}, 
 "BA-C_to_ABC" -> {{0, 1, 0}, {1, 0, 0}, {0, 0, -1}}, 
 "CAB_to_ABC" -> {{0, 0, 1}, {1, 0, 0}, {0, 1, 0}}, 
 "-CBA_to_ABC" -> {{0, 0, -1}, {0, 1, 0}, {1, 0, 0}}, 
 "BCA_to_ABC" -> {{0, 1, 0}, {0, 0, 1}, {1, 0, 0}}, 
 "A-CB_to_ABC" -> {{1, 0, 0}, {0, 0, -1}, {0, 1, 0}}, 
 "TetragonalProjection1" -> {{1, 1, 0}, {-1, 1, 0}, {0, 0, 1}}, 
 "TetragonalProjection2" -> {{1, -1, 0}, {1, 1, 0}, {0, 0, 1}}, 
 "Rhombohedral_to_R1_obverse" -> {{1, 0, 1}, {-1, 1, 1}, {0, -1, 1}}, 
 "Rhombohedral_to_R2_obverse" -> {{0, -1, 1}, {1, 0, 1}, {-1, 1, 1}}, 
 "Rhombohedral_to_R3_obverse" -> {{-1, 1, 1}, {0, -1, 1}, {1, 0, 1}}, 
 "Rhombohedral_to_R1_reverse" -> {{-1, 0, 1}, {1, -1, 1}, {0, 1, 1}}, 
 "Rhombohedral_to_R2_reverse" -> {{0, 1, 1}, {-1, 0, 1}, {1, -1, 1}}, 
 "Rhombohedral_to_R3_reverse" -> {{1, -1, 1}, {0, 1, 1}, {-1, 0, 1}}, 
 "Hexagonal_to_Orthohexagonal_C1" -> {{1, 1, 0}, {0, 2, 0}, {0, 0, 1}}, 
 "Hexagonal_to_Orthohexagonal_C2" -> {{1, -1, 0}, {1, 1, 0}, {0, 0, 1}}, 
 "Hexagonal_to_Orthohexagonal_C3" -> {{0, -2, 0}, {1, -1, 0}, {0, 0, 1}}, 
 "Hexagonal_to_Triple_H1" -> {{1, 1, 0}, {-1, 2, 0}, {0, 0, 1}}, 
 "Hexagonal_to_Triple_H2" -> {{2, -1, 0}, {1, 1, 0}, {0, 0, 1}}, 
 "Hexagonal_to_Triple_H3" -> {{1, -2, 0}, {2, -1, 0}, {0, 0, 1}}, 
 "Hexagonal_to_Triple_D1" -> {{1, 0, -1}, {0, 1, -1}, {1, 1, 1}}, 
 "Hexagonal_to_Triple_D2" -> {{-1, 0, 1}, {0, -1, 1}, {1, 1, 1}}, 
 "TripleHexagonal_to_Monoclinic_Cb1" -> {{2/3, 0, 0}, {1/3, 1, 0}, 
   {-2/3, 0, 1}}, "TripleHexagonal_to_Monoclinic_Cb2" -> 
  {{-1/3, -1, 0}, {1/3, -1, 0}, {-2/3, 0, 1}}, 
 "TripleHexagonal_to_Monoclinic_Cb3" -> {{-1/3, 1, 0}, {-2/3, 0, 0}, 
   {-2/3, 0, 1}}, "TripleHexagonal_to_Monoclinic_Ac1" -> 
  {{0, 2/3, 0}, {0, 1/3, 1}, {1, -2/3, 0}}, 
 "TripleHexagonal_to_Monoclinic_Ac2" -> {{0, -1/3, -1}, {0, 1/3, -1}, 
   {1, -2/3, 0}}, "TripleHexagonal_to_Monoclinic_Ac3" -> 
  {{0, -1/3, 1}, {0, -2/3, 0}, {1, -2/3, 0}}, 
 "Rhombohedral_to_Monoclinic_Cb1" -> {{0, 0, 1}, {-1, 1, 1}, {-1, -1, 1}}, 
 "Rhombohedral_to_Monoclinic_Cb2" -> {{-1, -1, 1}, {0, 0, 1}, {-1, 1, 1}}, 
 "Rhombohedral_to_Monoclinic_Cb3" -> {{-1, 1, 1}, {-1, -1, 1}, {0, 0, 1}}, 
 "Rhombohedral_to_Monoclinic_Ac1" -> {{1, 0, 0}, {1, -1, 1}, {1, -1, -1}}, 
 "Rhombohedral_to_Monoclinic_Ac2" -> {{1, -1, -1}, {1, 0, 0}, {1, -1, 1}}, 
 "Rhombohedral_to_Monoclinic_Ac3" -> {{1, -1, 1}, {1, -1, -1}, {1, 0, 0}}, 
 "CrystallographicToCartesian" -> {{Global`a, Global`b*Cos[Global`\[Gamma]], Global`c*Cos[Global`\[Beta]]}, 
   {0, Global`b*Sin[Global`\[Gamma]], Global`c*(Cos[Global`\[Alpha]] - Cos[Global`\[Beta]]*Cos[Global`\[Gamma]])*
     Csc[Global`\[Gamma]]}, 
   {0, 0, Global`c*Sqrt[1 - Cos[Global`\[Beta]]^2 - 
       (Cos[Global`\[Alpha]] - Cos[Global`\[Beta]]*Cos[Global`\[Gamma]])^2*Csc[Global`\[Gamma]]^2]}}|>
